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Finding the Fourth Proportional to 24,145.52, 36,224.28 and 8,564.72

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Solution

The fourth proportional to 24,145.52, 36,224.28 and 8,564.72 is: 12,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.52 : 36,224.28 = 8,564.72 : x
  2. Step 2: Convert to fraction form
    24,145.52/36,224.28 = 8,564.72/x
  3. Step 3: Cross multiply
    24,145.52x = 36,224.28 × 8,564.72
  4. Step 4: Simplify right side
    24,145.52x = 310,250,815.40
  5. Step 5: Solve for x
    x = 310,250,815.40/24,145.52
  6. Step 6: Final answer
    x = 12,849.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.